Spline Functions: Basic Theory
Spline Functions: Basic Theory
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DOI：
10.2307/2007301
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发表时间：
1981
期刊：
影响因子：
--
通讯作者：
L. Schumaker
中科院分区：
文献类型：
--
作者：
L. Schumaker
这个经典的工作继续提供了一个全面的处理理论的单变量和张量积样条。它将对应用分析、数值分析、计算机科学和工程领域的研究人员和学生感兴趣。所涵盖的材料为读者提供了必要的工具，以理解样条在诸如近似理论，计算机辅助几何设计，曲线和曲面设计与拟合，图像处理，微分方程的数值解等不同领域的许多应用，并越来越多地在商业和生物科学中。这个新版本包括一个补充概述了一些主要进展的理论自1981年以来，和大约250个新的参考文献。它可以用作样条、近似理论或数值分析课程的主要或补充文本。
This classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It will be of interest to researchers and students working in applied analysis, numerical analysis, computer science, and engineering. The material covered provides the reader with the necessary tools for understanding the many applications of splines in such diverse areas as approximation theory, computer-aided geometric design, curve and surface design and fitting, image processing, numerical solution of differential equations, and increasingly in business and the biosciences. This new edition includes a supplement outlining some of the major advances in the theory since 1981, and some 250 new references. It can be used as the main or supplementary text for courses in splines, approximation theory or numerical analysis.